| Line 5: | Line 5: | ||
*[[MGFs_of_LCs_of_independent_RVs_mhossain|Moment Generating Functions of Linear Combinations of Random Variables]] | *[[MGFs_of_LCs_of_independent_RVs_mhossain|Moment Generating Functions of Linear Combinations of Random Variables]] | ||
*[[variance_of_LC_of_RVs|Variance of a Linear Combination of Random Variables]] | *[[variance_of_LC_of_RVs|Variance of a Linear Combination of Random Variables]] | ||
| + | |||
| + | '''Set Operations'''<br/> | ||
| + | * [[ECE600_F13_set_theory_review_proof3_mhossain|Associativity of Union]] | ||
| + | * [[ECE600_F13_set_theory_review_proof2_mhossain|Commutativity of Intersection of Two Sets]] | ||
| + | * [[ECE600_F13_set_theory_review_proof1_mhossain|Commutativity of Union of Two Sets]] | ||
| + | * De Morgan's Law for Three Sets Part 1 | ||
| + | * De Morgan's Law for Three Sets Part 2 | ||
| + | * [[ECE600_F13_set_theory_review_proof5_mhossain|Distributive Property of Intersection over Union]] | ||
| + | * [[ECE600_F13_set_theory_review_proof56_mhossain|Distributive Property of Union over Intersection]] | ||
| + | * Subset Relationships | ||
Revision as of 20:34, 30 September 2013
This is a collection of proofs that I have used in my work elsewhere.
- Linearity of Expectation
- Linear Combinations of Gaussian Random Variables
- Moment Generating Functions of Linear Combinations of Random Variables
- Variance of a Linear Combination of Random Variables
Set Operations
- Associativity of Union
- Commutativity of Intersection of Two Sets
- Commutativity of Union of Two Sets
- De Morgan's Law for Three Sets Part 1
- De Morgan's Law for Three Sets Part 2
- Distributive Property of Intersection over Union
- Distributive Property of Union over Intersection
- Subset Relationships
